2 problems

Let $\eta$ be a character of the nilpotent subalgebra, let $Uinmathcal{Z}\mathfrak{g}$, and let $Ieta(U)$ be the associated Whittaker-induced module. Denote by $\Psi{Ieta(U)}$ the v…

Assume that $\eta$ is a nondegenerate character, let $W$ be the Weyl group, and let $\mathcal{Z}\mathfrak{g}$ be the category of modules used in the Whittaker induction functor…